{"id":"W4402814794","doi":"10.1080/00927872.2024.2400198","title":"On invariant submonoids","year":2024,"lang":"en","type":"article","venue":"Communications in Algebra","topic":"Advanced Topics in Algebra","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"Carleton University","funders":"","keywords":"Mathematics; Invariant (physics); Pure mathematics; Mathematical physics","routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false,"invisible_to_affiliation_only":false},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001068167,0.0006454527,0.0006118045,0.001767764,0.001678142,0.002189461,0.0007688865,0.0004856692,0.007108167],"category_scores_gemma":[0.001057511,0.000289068,0.0009375187,0.0007187627,0.002477607,0.003129958,0.002690144,0.0008704027,0.001453653],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001176556,"about_ca_system_score_gemma":0.0003390433,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0009132874,"about_ca_topic_score_gemma":0.0006802749,"domain_scores_codex":[0.9988483,0.0002920793,0.00008738086,0.0002054778,0.0003533354,0.0002133979],"domain_scores_gemma":[0.9991317,0.0001888135,0.0001007531,0.0002077814,0.0001624252,0.0002084646],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00002184413,0.00001911011,0.000280303,0.00003254778,0.000006757438,0.0003390848,0.0007974964,0.0002021939,0.003356956,0.9898462,0.0008309128,0.004266609],"study_design_scores_gemma":[0.0000284781,0.00009330427,0.0009936043,0.00003430734,0.00001763152,0.0006390307,0.0004847491,0.002624821,0.003756725,0.9623331,0.02897077,0.00002352081],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.5643804,0.004249211,0.1776074,0.001185635,0.001283822,0.0002058994,0.0008564879,0.001112951,0.2491182],"genre_scores_gemma":[0.9496192,0.0008266381,0.01919313,0.0003826527,0.0005775354,0.00008060865,0.0006765584,0.0001707014,0.02847302],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.007108167,"threshold_uncertainty_score":0.02377921,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.09712227397148826,"score_gpt":0.3875215244645451,"score_spread":0.2903992504930568,"validation_status":"score_only:v0-immature-baseline","note":"Baseline scores from an immature model (maturity gate not passed). Scores rank; they never assert a category."}}